Current Projects

The Equations of Materials 2nd edition. I have completed an updated version of my book with 7 new chapters added. It is due to be published later in 2026 or early in 2027.
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Complexity in Multicomponent High-Entropy Materials. I am currently writing a research paper on this topic, due to be published later in 2026 or early in 2027
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Schematic 10-component 2-D high entropy alloy. There are 20 trillion different local atomic nanostructures in an fcc high-entropy alloy with 5 components, and 10 million trillion with 10 components.
The Equations of Materials. I am developing a lecture series based on my book, covering some fundamental equations in materials science and biographies of the scientists who discovered them.

                   

                    Bravais Lattices: Crystals

                    Bernal Packing: Liquids and Glasses

                    The Hume-Rothery Rules: Alloys

                    Bragg’s Law: Diffraction

                    The Abbe Criterion: Microscopy        

                    Pauli’s Exclusion Principle: Spectroscopy

                    The Gibbs Phase Rule: Phases

                    The Boltzmann Equation: Thermodynamics

                    The Arrhenius Equation: Reactions

                    Ellingham Diagrams: Extraction

                    The Gibbs-Thomson Equation: Surfaces

                    Fick’s Laws: Diffusion

                    The Scheil Equation: Solidification

                    The Avrami Equation: Phase Transformations

                    Hooke’s Law: Elasticity

                    The Burgers Vector: Plasticity

                    Griffith’s Equation: Fracture

                    The Fermi Level: Electrical Properties

                    The Curie Point: Magnetic Properties

                    Snell’s Law: Optical Properties

Thermodynamics of Amorphous Alloys. I am currently writing a research paper on this topic, due to be published later in 2026 or early in 2027
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The Bernal holes or interstices in amorphous alloys. Thermodynamic properties of amorphous alloys can be explained based on the number and structure of their interstices.
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